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Finding the Fourth Proportional to 149.44, 206.06 and 125.75

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Solution

The fourth proportional to 149.44, 206.06 and 125.75 is: 173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.44 : 206.06 = 125.75 : x
  2. Step 2: Convert to fraction form
    149.44/206.06 = 125.75/x
  3. Step 3: Cross multiply
    149.44x = 206.06 × 125.75
  4. Step 4: Simplify right side
    149.44x = 25,911.01
  5. Step 5: Solve for x
    x = 25,911.01/149.44
  6. Step 6: Final answer
    x = 173.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.